# Riemann zeta function

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## Riemann zeta function

[′rē‚män ′zād·ə ‚fəŋk·shən]
(mathematics)
The complex function ζ(z) defined by an infinite series with n th term e -z log n . Also known as zeta function.
References in periodicals archive ?
The constant [gamma](p) appears naturally as the Euler constant for a p-analogue of the Riemann zeta function (Kurokawa-Wakayama [10] (2004)), with the slight difference that our [gamma](p) equals their
Please note the following corrections to the article Riemann zeta zeros from an asymptotic perspective published in ASMJ Volume 29 Number 2, 2015:
Some probabilistic value distributions of the Riemann zeta function
i) to generalise efficient congruencing to approximately translation invariant systems, and explore consequent applications to Diophantine problems such as Waring~s problem, restriction problems from discrete Fourier analysis, and bounds for the Riemann zeta function within the critical strip;
Based on courses written by mathematics professors at the University of Wurzburg for the August 2012 International Summer School, four papers explain how modularity can be useful when studying the asymptotic behavior of arithmetically interesting functions, the representation of real numbers by their continued fraction expansion or their expansion in some integer base, and the connections between multiplicative Toeplitz matrices and the Riemann zeta function.
Among the topics are modular functions and Eisenstein series, the Riemann zeta function, Euler's formulas and functional equations, functional equations, a linear space of solutions, and the multidimensional Poisson summation formula.
In mathematics, the Bernoulli polynomials occur in the study of many special functions and in particular the Riemann zeta function and the Hurwitz zeta function.
j] is the generalized Riemann zeta function known also as Hurwitz zeta function.
Bradley, Searching symbolically for Apery-like formulae for values of the Riemann zeta function, SIGSAM Bulletin of Algebraic and Symbolic Manipulation, Association of Computing Machinery, 30 (1996), no.
Among the poles of the meromorphic function Z(s) are the roots p of the Riemann zeta function in the critical strip 0 < [sigma]< 1, which is clear from Eq.

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